In a cricket match A,B, and C together scores 108 runs, B and C together 90 and A and C together 51. Find the number of runs scored by each.
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Given:
- A,B, and C together scores 108 runs
- B and C together 90
- A and C together 51
____________________________
TO FIND:
- number of runs scored by each
____________________________
SOLUTION:
Equ.1
A + B + C = 108. I)
Equ.2
B + C = 90
B = 90 - C ii)
Equ. 3
A + C = 51
A = 51 - C. iii)
Substitute the value of A and B in Equ.1.
We get→
A + B + C = 108.
(51 - C) + (90 - C) + C = 108
141 - C = 108
-C =- 33
C= 33 Runs✔️
A= 51-C
==>51-33
==>18 Runs✔️
B = 90 - C
==> 90 - 33
==>57 Runs✔️
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Step-by-step explanation:
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